Bridges the gap between elementary texts and advanced texts on statistical field theory and critical phenomena.

Uses only basic physics and mathematics; accessible to a wide readership of scientists, engineers and mathematicians.

Addresses deep fundamental concepts whilst remaining a careful exposition for students of all levels of ability.

Supplemented with exercises and appendices to give a complete understanding of the main text.

This book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation (and motivation), including mean-field theories and high-temperature and low-density expansions. It then proceeds by easy steps to the famous epsilon-expansion, ending up with the first-order corrections to critical exponents beyond mean-field theory. Nowadays there is widespread interest in applications of renormalization methods to various topics ranging over soft condensed matter, engineering dynamics, traffic queueing and fluctuations in the stock
market. Hence macroscopic systems are also included, with particular emphasis on the archetypal problem of fluid turbulence. The book is also unique in making this material accessible to readers other than theoretical physicists, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.

Readership: Aimed at final-year undergraduate, postgraduate and research physicists. Also of interest to applied mathematicians, fluid dynamicists, mechanical and chemical engineers, and physical chemists.

William David McComb, School of Physics, University of Edinburgh, UK

Review(s) from previous edition

"Renormalization Methods should be an excellent source of material for anyone who plans to lead advanced undergradutes and first-year graduate students beyond the standard course material toward current research topics.
- Physics Today

"I think this book is the best introductory textbook on techniques of renormalization available. It will be a delight to read for anyone who is encountering the topic for the first time and is wishing to exploit the methods to pass an exam or in one's field.
" - Contemporary Physics

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